4076534498400 has 2160 divisors, whose sum is σ = 18940751620560. Its totient is φ = 845481369600.

The previous prime is 4076534498327. The next prime is 4076534498483. The reversal of 4076534498400 is 48944356704.

4076534498400 is a `hidden beast` number, since 4 + 0 + 76 + 53 + 449 + 84 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 2517932791 + ... + 2517934409.

It is an arithmetic number, because the mean of its divisors is an integer number (8768866491).

Almost surely, 2^{4076534498400} is an apocalyptic number.

4076534498400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4076534498400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9470375810280).

4076534498400 is an abundant number, since it is smaller than the sum of its proper divisors (14864217122160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4076534498400 is a wasteful number, since it uses less digits than its factorization.

4076534498400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1739 (or 1710 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 4076534498400 in words is "four trillion, seventy-six billion, five hundred thirty-four million, four hundred ninety-eight thousand, four hundred".